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Stud poker odds

Rank Example # of Shapes Distinct Hands Odds
Four of a kind 4 4♣ 4 4♠ 1 13 20,824 : 1
Three of a kind 7 7♣ 7 K♠ 2 312 107 : 1
Two Pair 8 8♣ Q Q♠ 3 234 95 : 1
One Pair 3 7♣ A A♠ 5 5134 2.3 : 1
No Pair 8 K♣ Q 4♠ 5 10725 0.48 : 1


Hand Type Description Example
Royal Flush A-K-Q-J-10 of same suit A K Q J 10
5 of a Kind 4 cards of the same rank + Joker 3 3♣ 3 3♠ Joker
Straight Flush In sequence, 5 cards of same suit 6♣ 7♣ 8♣ 9♣ 10♣
4 of a Kind 4 cards of the same rank J J♣ J J♠
Full House 3 of a kind + 1 pair 2 2♣ 2 7♣ 7♠
Flush 5 cards of the same suit 3 5 6 10 Q
Straight 5 cards in sequence 9 10♣ J Q♣ K
3 of a Kind 3 cards of the same rank 7 7♣ 7

Below is the Raise Pay Table in the US. The ante pays even money and the raise pays out according to this table.

Royal Flush 100 to 1
Straight Flush 50 to 1
4 of a Kind 20 to 1
Full House 7 to 1
Flush 5 to 1
Straight 4 to 1
3 of a Kind 3 to 1
Two Pair 2 to 1
All others 1 to 1

Below are the number of ways of drawing each hand in 5-, 6-, and 7-Card Stud, and the also the probability of doing so.

5-Card Stud
Hand Combinations Probabilities
Royal Flush 4 0.0000154
Straight Flush 36 0.00001385
4 of a Kind 624 0.00024010
Full House 3744 0.00144058
Flush 5108 0.00196540
Straight 10,200 0.00392465
3 of a Kind 54,912 0.02112845
2 Pair 123,552 0.04753902
1 Pair 1,098,240 0.42256903
Nothing 1,302,540 0.501177394
6-Card Stud
Hand Combinations Probabilities
Royal Flush 188 0.000009
Straight Flush 1656 0.000081
4 of a Kind 14664 0.000720
Full House 165984 0.008153
Flush 205792 0.010108
Straight 361620 0.017763
3 of a Kind 732160 0.035963
2 Pair 2532816 0.124411
1 Pair 9730740 0.477969
Nothing 6612900 0.324822
7-Card Stud
Hand Combinations Probabilities
Royal Flush 4,324 0.00003232
Straight Flush 37,260 0.00027851
4 of a Kind 224,848 0.00168067
Full House 3,473,184 0.02596102
Flush 4,047,644 0.03025494
Straight 6,180,020 0.04619382
3 of a Kind 6,461,620 0.04829870
2 Pair 31,433,400 0.23495536
1 Pair 58,627,800 0.43822546
Nothing 23,294,460 0.17411920